Non-uniformly hyperbolic horseshoes in the standard family

2017/12/18 by Matheus, Carlos, Moreira, Carlos Gustavo, Palis, Jacob
#37C29 #37D25 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.06656

Abstract

We show that the non-uniformly hyperbolic horseshoes of Palis and Yoccoz occur in the standard family of area-preserving diffeomorphisms of the two-torus for a set of (large) parameters of positive Lebesgue measure.

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